Math 403: what we've covered so far

• Monday, 3 January: started Section 4.5 (orthogonal matrices and rigid motions)
• Wednesday, 5 January: continued Section 4.5.
• Friday, 7 January: finished Section 4.5, covered Section 5.1 (symmetries of plane figures), started Section 5.2 (group of motions of the plane).
• Monday, 10 January: continued Section 5.2.
• Wednesday, 12 January: finished Section 5.2, started Section 5.3 (Finite symmetry groups).
• Friday, 14 January: continued Section 5.3.
• Wednesday, 19 January: finished Section 5.3, started Section 5.4 (Discrete symmetry groups).
• Friday, 21 January: continued Section 5.4.
• Wednesday, 26 January: finished Section 5.4.
• Friday, 28 January: started Section 5.5 (Group operations).
• Monday, 31 January: finished Section 5.5, started Section 5.6 (The operation on cosets).
• Wednesday, 2 February: finished Section 5.6, covered Section 5.7 (The counting formula).
• Friday, 4 February: started Section 6.1 (The action of a group on itself).
• Monday, 7 February: finished Section 6.1, started Section 6.2 (The class equation of the icosahedral group).
• Wednesday, 9 February: finished Section 6.2.
• Friday, 11 February. Exam. Solutions are available here, and also in PDF format.
• Monday, 14 February . Reviewed fields, vector spaces, basis, dimension.
• Wednesday, 16 February. Started Section 7.1 (Bilinear forms).
• Friday, 18 February. Continued Section 7.1.
• Wednesday, 23 February. Finished Section 7.1.
• Friday, 25 February. Started Section 7.2 (Orthogonality, signature).
• Monday, 28 February. Finished Section 7.2, covered Section 7.3 (Euclidean spaces).
• Wednesday, 1 March. Started Section 7.4 (Hermitian forms).
• Friday, 3 March. Finished Section 7.4, started Section 7.5 (The spectral theorem).
• Monday, 6 March. Continued Section 7.5 (actually using the approach in Section 7, Normal operators).
• Wednesday, 8 March. Gave a recap of the results in Section 7.5.

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